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Finding the Third Proportional to 256,842 and 409,046.63

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Solution

The third proportional to 256,842 and 409,046.63 is: 651,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842 : 409,046.63 = 409,046.63 : x
  2. Step 2: Convert to fraction form
    256,842/409,046.63 = 409,046.63/x
  3. Step 3: Cross multiply
    256,842x = 409,046.63 × 409,046.63
  4. Step 4: Simplify right side
    256,842x = 167,319,141,423.89
  5. Step 5: Solve for x
    x = 167,319,141,423.89/256,842
  6. Step 6: Final answer
    x = 651,447.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.